curve #3912

y² + xy = x³ − 18339588176742821451477x + 955947244904228289807565515453409

a-invariants: [1, 0, 0, -18339588176742821451477, 955947244904228289807565515453409]
rank (lower bound): ≥ 17
torsion subgroup: trivial
conductor (N): 774603633951689839883783207729247902867215639659121198
discriminant (Δ): -2624344619020916804672519862131117637603949144711266196517318656
Faltings height: 11.3827
naive height: 165.4037
primes of bad reduction: 2, 7, 13, 53, 80303092883235521447624218093432293475763595237313
regulator: 3205561759459030.18412275816979952704181708126545117888741296043623518699
submitted by: 7fff-zip
submitted at: 2026-10-04 15:32:58 UTC
last updated: 2026-10-04 15:32:58 UTC

(78564405122, -191489360403033)
(2069068768634, -2969982139311521145)
(2648973261234, -4305855180499356745)
(-8215393885706/121, 57835626328913728925/1331)
(23292713203522/81, -101699576740118977921/729)
(59176735160612/361, -332820606729628744371/6859)
(137497772074094/1681, -121430745765954267385/68921)
(578853225982619/7396, -43322607113635443559/636056)
(1223950998219474/15625, 176526157545629596243/1953125)
(793983878497636/11025, -3414243443628502108849/1157625)
(1488807890105298/19321, -1474730848848070107035/2685619)
(300834521320947250/5329, 165002387752149328274608351/389017)
(68492700422311410/908209, 1156010461949428735388431/865523177)
(80958837554459970/326041, -20147734284218462996541467/186169411)
(202726800704550318/2627641, 2144302814967312229422535/4259406061)
(190493658715044930/2301289, -7838826621064895111821949/3491055413)
(848369215388378485298/3916441, 24710256404158313734384922615493/7750636739)

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